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Finding the Fourth Proportional to 436,538.12, 654,808.80 and 132,935

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Solution

The fourth proportional to 436,538.12, 654,808.80 and 132,935 is: 199,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,538.12 : 654,808.80 = 132,935 : x
  2. Step 2: Convert to fraction form
    436,538.12/654,808.80 = 132,935/x
  3. Step 3: Cross multiply
    436,538.12x = 654,808.80 × 132,935
  4. Step 4: Simplify right side
    436,538.12x = 87,047,007,828
  5. Step 5: Solve for x
    x = 87,047,007,828/436,538.12
  6. Step 6: Final answer
    x = 199,402.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.